LIN-AMENT. LIN FIRST HARVARD GRAD TO PLAY FOR NY KNICKS SINCE 1953-54
February 16, 2012
Jeremy Lin is only the 3d player from Harvard to play in the NBA.
He was a terrific player not only at Harvard, but in the Ivies. He established a line of records unmatched in Ivy League history, and along the way, the Harvard basketball team, which had never amounted to a bucket of warm spit until Lin and Coach Amaker arrived, found its way to the Ivy League title and the NCAA tournament.
My sons and I watched these guys, led by Lin, play a ferocious contest in the Palestra against their arch-rivals Penn in 2010, which was a double overtime contest, and as Harvard finally won, largely due to the intensity and refusal to lose of Lin, who kept penetrating, dishing off, shooting jumpers, and doing whatever it took to win, it seemed like a passing of the guard.

The Daily Pennsylvanian made pun of Lin's name back in 2009 at Penn, showing once again Philly was three years ahead of NYC media.
So it’s no secret why Lin is the 2d best player on the knicks in win shares per 48 minutes at .187 after Tyson Chandler’s .248; or why his PER approaching 25 leads the team. Lin plays defense, doesn’t turnover the ball, and is efficient both on offense and defense. Also, he hustles. In the Ivy League, he led across a large number of categories, including points, steals, rebounds, assists, assist to turnover ration, etc. and established benchmarks for a guard across many such categories–in fact, all time records for a guard to have such all-around abilities.
What we saw, watching him two years ago, was a guy who refused to lose. He could penetrate and score; penetrate and dish out to the three line; penetrate and dish to the man beside him after drawing the double-team; penetrate and dish to the open man; had amazing peripheral vision; could drop the three or the jumper if left unattended; always could run the ball and locate the open man on the run; could play defense; could steal the ball; could rebound and start the break the other way; in short, he was a complete player.
And Lin never stopped to breath. He was always in continuous motion. Harvard had a lot of talented players, but they looked kind of confused unless Lin got them the ball and he was coordinating the offense. He was, in short, a terrific and talented point guard who had game.
A lot of Penn players have played in the NBA, but not so much Harvard. Hockey has always been the winter sport at Harvard, along with playing the stock market and inventing new financial instruments the SEC can’t regulate.
Three players including Lin played in the NBA:
http://www.basketball-reference.com/friv/colleges.cgi?college=harvard#stats::none
first was
Saul Mariaschin
http://www.basketball-reference.com/players/m/mariasa01.html
who was a 5 foot 11 inch player on the 1947-48 Boston Celtics. The Celtics were in a predecessor league to the NBA, but who cares?
Here were Saul Mariaschin’s teammates on the Boston Celtics of 1947-48:
http://www.basketball-reference.com/teams/BOS/1948.html
Here’s another of his teammates from that legendary Celts team:
CHUCK CONNORS. Yes, the guy who later played the RIFLEMAN on TV. Lucas McCain himself. And a 6’5″ grad of Seton Hall, which in 1947-48 would have made him a giant player. And he was a CELTIC. You can look it up.
http://www.basketball-reference.com/players/c/connoch01.html
http://en.wikipedia.org/wiki/Chuck_Connors
Chuck Connors also played baseball for the Brooklyn Dodgers!
And he was a TV Star!
The second player that went to Harvard and played in the NBA was
Ed Smith
Edward Bernard Smith (Ed)
Ed Smith was a New York Knick in 1953-54. On that Knicks team, Ed played with Vince “Moose” Boryla, Nate “Sweetwater” Clifton, Al McGuire and Dick McGuire, and the famous Ernie Vandeweghe, and others well-noted.
That 1953-54 Knicks team finished 1st in the Eastern Division, going 44-28 under the helm of the legendary Joe Lapchick. And they played in the old Madison Square Garden, which many hold in as high esteem as the old Boston Garden.
and here’s ernie vandewege v bob cousy:
Of course, Ernie has some bloodlines. Kiki Vanderweghe was a great NBA player, and now his granddaughter is a professional tennis player:
THINKING OUTSIDE THE BOX, ER FOX, AS IN FOX MULDER
September 18, 2009
In a certain episode of The X-Files, the character Fox Mulder derides Occam’s Razor by renaming it “Occam’s Principle of Unimaginative Thinking.”
see http://en.wikipedia.org/wiki/William_of_Ockham
For those who forget, occam’s razor suggests that whenever we have to choose between a complex hypothesis and a simpler hypothesis to explain the facts, we should always reject the complex theory favor of the simple one. “For nothing ought to be posited without a reason given, unless it is self-evident (literally, known through itself) or known by experience or proved by the authority of Sacred Scripture.” Id., see website supra.
this ends up being closely related to Ockham’s principle of ontological parsimony, see the website, supra.
art kyriazis, philly
home of the world champion philadelphia phillies
The Christian East
August 4, 2009
The Pope recently took a tour of the Middle East. He might have stopped at Jerusalem and some other holy cities as well. He made a number of speeches about Christians and Muslims and Jews getting along, and then got on his way.
This was all dutifully covered by the news organizations.
Forgotten by all but scholars and bookworms, is the fact that for the most part, Christians in the Middle East and Near East are anything but Catholics. The Assyrian Church or Church of the Near East, which up through the 15th Century used to command millions of followers, continues to have followers in Iran and Iraq; the Coptic Orthodox Church is the dominant Christian Church in Egypt, and its followers are the original Eqyptians, the ones who built the pyramids (the muslim Egyptians are Arabs and Mamluks; Coptic is a version of spoken hieratic ancient Egyptian); the Lebanese are pretty evenly split between the Orthodox (eastern church) and the Maronites (western church); the Armenian Orthodox continue to exist in small but significant numbers in Iran as well as the newly formed Armenian Republic; and in the rest of the near East, notwithstanding the wholesale expulsions of Armenian and Greek Orthodox by the Ottomans in 1923, Orthodox Christians far outnumber Catholics everywhere in the Middle East and Near East.
This is why when scholars and bookworms speak of the East, they speak of the “Christian East.”
Secondly, the catholic presence in the Middle East was first introduced by the several Crusades, beginning in 1096 and thereafter, and after their expiration with the last failed crusade at Varna in 1396 and the fall of Constantinople in 1453, the Jesuits continued missionary activities throughout the Middle East, largely on behalf of the French, mainly to convert Orthodox subjects of the Sublime Porte to Catholicism, since it was forbidden to convert Muslims to Orthodoxy.
During the Crusades and thereafter, the Catholic Church set up a series of parallel bishoprics and patriarchates which essentially duplicate the hiearachical structure of the Eastern Orthodox prelates and Eastern Orthodox Byzantine Empire’s Church as it then stood in 1096 A.D.; if there was a greek patriarch in Antioch, they replaced him with a latin patriarch, if there was a greek patriarch in Jerusalem, they replaced him with a latin patriarch, if there was a greek patriarch in Edessa, they replaced him with a latin patriarch, and so forth ad nauseam.
Consequently, even though the Crusades are long gone (and the Eastern Roman/Byzantine Empire as well) the dual Eastern Church/Catholic titles (and dual office holders) in the middle east still co-exist, confusingly so. There are still catholic and greek bishops and patriarchs of many middle eastern cities, and they often have fights and squabbles for control of sacred places and relics, most notably over the Church of the Holy Sepulchre in Jerusalem, which was commended to the care of the Eastern Orthodox Church by St. Constantine and his mother St. Helena in the 4th Century A.D., which is built over the tomb of our Lord and Savior Jesus Christ.
That these petty fights and squabbles are often mediated by the Arabs (or Jews) who actually own the land in question demonstrates the practical reality that in the Middle East, everyone must really get along; it’s not a hollow truism merely echoed by the Pope as one more speech, but an actual, living fact of living as an oppressed Christian minority in a Muslim land.
To really appreciate the value of being Christian, or simply the value of freedom of religion which we enjoy here in America, one should live as an oppressed Christian minority for a year in a land which is overwhelmingly muslim or otherwise non-christian for a year or two.
It will shed great light on our great freedom of worship here.
art k philly/south jersey
home of the world champion phillies
The Stimulus Bill
May 13, 2009
Was and Is a good idea.
The economy is in a major recession.
The current rate of interest based on prices overall is negative two percent (-2%) and some sectors of the economy are falling far faster than that (car prices and car sales, home prices and home sales, etc.). Home prices in particular are in a death spiral of approximately minus twenty percent annually (-20%). That fact is causing a lot of overly leveraged homeowners (and second homeowners) to rationally walk away from their mortgages as their falling home prices eradicate their equity and cause their loan payoff figures to exceed whatever they could rationally expect to recover on the market in a real estate sale; in many cases, the summary sheet would show a net balance owed to the mortgage company.
This, in turn, is killing the banks.
I needn’t point out at this stage that this particular deflationary spiral of home prices was also a key component of bank failures and economic depression during the Great Depression of 1929-1939 in the United States; so much so, that it was constantly referred to by many of my professors in many of my classes, in both undergrad and grad school.
In short, that was the CLASSIC example of deflationary spiral, falling real estate prices during the 1930s. That was also the focus of specific New Deal programs at the time of the 1930s.
Consequently, it’s fair to characterize the current economy as in a demand-starved recessionary/deflationary spiral that would probably respond best to Keynesian style medicine, that is to say, 1) fiscal policy targeted to drive the demand function back up, e.g. deficit spending on a large scale and 2) monetary policy targeted to counteract the negative interest spiral. And, also, specific programs to help homeowners fix their mortgages, which the administration has also wisely proposed, again copying the 1930s New Deal.
I’m not going to work out the econometrics here. Most people live their lives based on the notion that you can’t predict the future. Economists and market analysts aren’t like that, and neither is the government. The entire history of economics, and particularly econometrics, is grounded on probability and statistics, and more generally, logic and the theory of sets, as well as computer-based calculations and iterative theories of what can and cannot be calculated by a machine, e.g. a Turing Machine or computer, given certain data and an appropriate algorithm.
The fact is, we can see into the future, and if we do the appropriate policies, we can change the future. For more than seventy years now, countercyclical financial manipulations using fiscal and monetary policies at the macro- and micro- economic levels has been discussed in detail in many different academic and scholarly journals, all flowing from the theoretical framework of Keynes and Friedman, as well as the careful study of business cycles by the National Bureau of Economic Research at Harvard (“NBER”), where many prominent economists have labored in the academic vineyards.
The fact remains that just as we can shape our own futures by educating ourselves, working hard, showing up on time and having the right friends, we can obviously shape the economic future of the land by taking appropriate economic actions.
This is not like the fall of the market, which is stochastic, governed by a random walk, and essentially would have to happen at some point. If you’re not sure about this, look up the Gambler’s Ruin problem on Google or in one of your old textbooks. If you gamble long enough for large enough sums, eventually there’s the chance that you will lose everything. The market is no exception to the problem of the Gambler’s Ruin and the random walk that crosses the point of no returns.
However, even in the case of the ruin of the market, countercyclical fiscal and monetary policies could have cushioned the fall much better and more wisely, had the last administration not been so committed to laissez faire policies reminiscent of the 1920s.
Instead of pumping up the boom, the government should have acted to mute it, so that when the crash came, it was not so violent or abrupt.
A tax increase during the boom would have been wise, especially a surtax to finance the war in Iraq, and to suck some wind out of the sails of the almost inflationary boom during 2005-2007.
That would have been wise, but the last administration chose not to do it for political reasons, and because they were married to a laissez-faire doctrine of not taxing under any circumstances.
This was an ill-considered doctrine, because countercyclical management of the economy requires taxation as part of reasonable fiscal and monetary management of the business cycle.
What is even more ill-considered is that the Republican Party continues to advocate this same laissez-faire approach now in opposition to the stimulus bill, when it is obvious that government action is required.
Turning to the current stimulus bill, the Republican right wing response of opposing the stimulus bill, and instead continuing to advocate smaller government and laissez-faire is not only wrong, but historically wrong, since it just repeats the criticisms of the New Deal made in the 1930s by the Republican party, which history shows us were wrong.
The New Deal was right, Glass-Steagall and securities regulation were right, and government interventionism as well as vast government spending to pull us out of the Depression were the correct government policies.
Moreover, the last administration bloated the government with cronyism and friendly contracts to private contractors, both in the Iraqi war sector and in Homeland Security, hardly shrinking the government, and laissez-faire only meant no new taxes—the government was activist on a range of issues important to corporations, especially environmental issues.
Moreover, the value of the stimulus bill has been shown to be historically valuable by the New Deal, and also not only in the 1930s in the U.S., but in 1930s Germany, where vast rearmaments spending and central government spending pulled Germany out of the depression, but also in 1930s Italy, where central government spending ended the depression, and also in 1930s England and 1930s France, the same, and so forth. 1930s Japan also revived itself with Government spending on armaments.
Probability, econometrics and policy at some point merge into the ability to shape the future. One can debate about policies, their merits and demerits, but at some point one has to commit to one policy direction or another, and what is refreshing about the current administration is that they have committed to a certain policy direction. Their economic advisers are experienced and knowledgeable, and probably have worked out the future impact of these policies on Cray Supercomputers several times over by now. I hesitate to say this, but in all likelihood, the Government probably knows better in this case what to do than we do.
The past administration distinguished itself by twisting slowly, slowly in the wind while the economy disintegrated, sticking not to laissez-faire, but to a lot of deficit spending on the Iraq War which mainly went to government contractors with connections to the government in power. The same could be said for the enormously bloated Homeland Security budget contracts, which were exposed in part as fraudulent by incidents such as Hurricane Katrina.
There are many specific problems with the stimulus bill, but overall it’s the right direction.
Art Kyriazis
Philly/South Jersey
Home of the World Champion Phillies
THE WORLD’S SHORTEST BOOKS by Mark J. Leonardo, Esquire, Attorney at Law, Malibu, California
May 13, 2009
The World’s Shortest Books:
THINGS I LOVE ABOUT MY COUNTRY
by Oscar Winer Jane Fonda & Cindy Sheehan .
Illustrated by Michael Moore
________________________________________
MY CHRISTIAN ACCOMPLISHMENTS &
HOW I HELPED AFTER KATRINA
by the Revs Jesse Jackson & Al Sharpton
_______________________________________
THINGS I LOVE ABOUT BILL
by Secretary of State Hillary Clinton
________________________________
Sequel:
THINGS I LOVE ABOUT HILLARY
By former President Bill Clinton
___________________________________
MY LITTLE BOOK OF PERSONAL HYGIENE
by Osama Bin Laden
___________________________________
THINGS I CANNOT AFFORD
by Microsoft Chair Emeritus Bill Gates
____________________________________
THINGS I WOULD NOT DO FOR MONEY
by NBA Rebound Champion Dennis Rodman
_________________________________
THINGS I KNOW TO BE TRUE
by Nobel Prize Winner Al Gore & Sen. John Kerry
_______________________________________
AMELIA EARHART’S GUIDE TO THE PACIFIC
___________________________________
A COLLECTION of
MOTIVATIONAL SPEECHES: REASONS TO LOVE LIFE.
by Suicide Doctor Jack Kevorkian
__________________________________
TO ALL THE MEN I HAVE LOVED BEFORE
by Ellen de Generes & Rosie O’Donnell
____________________________________
GUIDE TO DATING ETIQUETTE
by former heavyweight champ Mike Tyson
__________________________________
THE AMISH PHONE DIRECTORY
_______________________________________
MY PLAN TO FIND THE REAL KILLERS
by Former Heisman Winner O.J. Simpson
_________________________________________
HOW TO DRINK & DRIVE OVER BRIDGES
by Senator Ted Kennedy
___________________________________
MY BOOK OF MORALS
by former President Bill Clinton
with introduction by The Rev. Jesse Jackson
*******************************************************
AND, JUST ADDED:
Complete Knowledge of Military Strategy!
By House Majority Leader Nancy Pelosi
Mark J. Leonardo, Esq.
THE LAW OFFICES OF MARK J. LEONARDO, ESQ.
784 Latigo Canyon Road
Malibu, California 90265
(310) 456-7373
(310) 317-7261 (fax)
MARK LEONARDO IS NOT JUST ONE OF THE BEST ATTORNEYS IN SOUTHERN CALIFORNIA–HE’S ALSO A GREAT PIANO PLAYER, A WONDERFUL FATHER, AND HE’S PERSONAL FRIENDS WITH FELLOW DETROIT NATIVE KID ROCK!!!! (WELL, HE USED TO BE UNTIL THE KID SPLIT UP WITH PAM ANDERSON). MARK IS ONE RIGHT ON DUDE!!! CALL HIM FOR ALL YOUR LEGAL PROBLEMS IN CALI!!!! AND, SINCE HIS OFFICE IS IN MALIBU, YOU CAN GO SURFING AT MALIBU POINT AFTER YOUR BUSINESS MEETING OR JUST HIT THE BEACH AT ZUMA…..
–art kyriazis philly/south jersey
home of the non-steroid using world champion philadelphia phillies
HAPPY EASTER AND PASSOVER TO ALL
April 7, 2009
I wanted to wish a Happy Easter and a Happy Passover to all.
There’s an old joke, that goes something like this. A liberal is arguing with a conservative about the death penalty. Finally, exasperated, the conservative says to the liberal, “of course I’m in favor of the death penalty–without the death penalty, there’d be no Easter and no Easter Bunny!”
While this is an awful joke, it does remain true that in the two major capital punishment trials that we know about in history, Socrates and Jesus, as best we know, both were wrongfully convicted and sentenced to death. I won’t even get to the OJ trial, although as we all know, the glove didn’t fit and they had to acquit.
Obviously Socrates and Jesus could have used Johnny Cochran as their lawyer.
Socrates on dying, was reputed to have said something like, I die, you live, god knows who is going to the better place. Those of us who are religious of course believe that death brings us closer to a better place indeed, but Socrates provides a flash of insight that this short life is not the only one, that there is a spiritual and inner life that transcends death. Religion ministers to the soul, or at least to our conception of the soul, and consequently it is a vital part of our lives.
The Passover story about Moses leading the chosen people out of bondage and out of Egypt is a great story, as well as being an integral part of the old testament. “Exodus” is actually ancient greek for “Exothos” or “Exit” or “Leaving”. It’s the title of the book from the Ancient Greek Septuagint. The entire point of Exodus is the story of the Chosen People Leaving, “Exothos”, from Egypt and their bondage. God frees them from slavery and bondage through Moses and a series of miracles, each one greater than the last, which are celebrated each and every Passover.
It is such an important story because it gives hope to every oppressed peoples that God will redeem every one in bondage, free them and lead them to their own Promised Land. When Martin Luther King spoke of reaching the Promised Land, it was the Passover Story he was referring to. He didn’t need to explain that to his listeners, many of whom were careful Bible readers. The African-Americans of this country understood about bondage, redemption, and being led out of bondage and to the Promised Land.
On this Passover, we should think about these matters in considering President Obama, a man who has the potential to unite many different elements of society, and perhaps finally lead a people to the Promised Land. All oppressed peoples the world over hearken to the story of Exodus.
I’ve always had a strong faith in God and I don’t doubt God’s existence. Recently there’s been a spate of books and articles by respected scholars advocating atheism and the non-existence of God. I find this to be an awful waste of scholarly time, and especially of taxpayer and endowment money. Isn’t there something important these guys should be doing on our nickel?
Richard Dawkins, who once wrote a book called “The Selfish Gene,” is one of these. He used to teach at Harvard, now teaches in England, and appears to enjoy bashing God and religion in his books. Dawkins used to be a capable biologist. In his old age, he’s turned into a menacing crank who hates old ladies who go to church and pray to the saints and God for the memories of their dead husbands.
How mean can you possible get?
You might call him “The Selfish Dean” because he really seems only to care about himself. Is this what tenure breeds? Idiotic books about atheism? Pushed on us by editors and publishing houses?
Belief in God is a personal matter, but it also means a commitment to others, and to doing things for others, without considering the personal benefit to yourself. Sitting around the table at Easter, at Seder, at any family gathering, we give thanks to our creator and Lord for family, for health, for happiness. I can’t imagine a life without God or without prayer, a life without church or without friends from church or the church community.
I’ve looked at Dawkins’ books on atheism. They are poorly written, poorly argued, and basically are rants.
It’s not a careful argument.
A careful argument, for example, would be Aquinas’ Summa Contra Gentiles, or Martin Luther’s 95 Theses against the Catholic Church, or John Calvin’s immense work of theology criticizing the Roman Catholic Church and setting forth the tenets of Calvinism.
Those are careful and thoughtful books, which make their cases carefully, point by point.
Dawkins’ books by contrast are awful and poorly researched and poorly written. It’s embarassing to see a professor publish such awful work. Especially when he was able while younger to write such a good book on biology as “The Selfish Gene.” It’s readily apparent Dawkins’ writing and intellectual skills have sharply declined with age.
But assuming that Dawkins (and any of these other atheists) has/have any rational or reasonable points to make, I’d like to refute them with Pascal’s Wager, for one. I think Dawkins is already refuted by the Transcendental a priori arguments of Kant for God’s existence, but Blaise Pascal made a classic probability argument which is, in fact, irrefutable on mathematical and utility grounds, for God’s existence.
Pascal said you should believe in God, because if you did, even if there was only a 1 in a million chance of his existence, the benefits would be eternal salvation, whereas if you denied Him, the possible harm would be eternal damnation.
Consequently, it’s a lot like the nuclear calculus–the benefits are so great, that even if there’s only a slight chance of God existing, it’s worth going all in on God. If you win, you get eternal salvation forever. (the nukes argument goes like, if there’s a one in a million chance of starting World War III, the harm is so great, you have to avoid it, because it’s nuclear winter and the death of mankind, so the policy can’t be adopted).
If you lose the wager, you burn in hell forever. I kind of envision Dawkins burning in a really hot part of hell, by the way. The part where they keep Bernie Madoff, child molesters, child molesting catholic priests and every single convicted defendant whose story was the real basis for the plot line of a LAW AND ORDER:SVU episode. Those stories are really pretty awful. This is a digression, but it’s hard to believe that’s Jayne Mansfield’s daughter in that show, by the way. Mariska Hargitay, emmy winning actress, now approximately in her mid-40s, and still very beautiful, is the daughter of Mickey Hargitay (a former Mr. Universe) and Jayne Mansfield, the 1950s starlet/sex bomb. I think you’d have to say that Mariska Hargitay has really had a solid acting career.
As for all of those who doubt God’s existence or lack faith in God, I give you an extended discusion of Pascal’s Wager from the Stanford Encylopaedia of Philosophy.
Pascal’s Wager
By Alan Hajek, Stanford Encyclopedia of Philosophy
“Pascal’s Wager” is the name given to an argument due to Blaise Pascal for believing, or for at least taking steps to believe, in God. The name is somewhat misleading, for in a single paragraph of his Pensées, Pascal apparently presents at least three such arguments, each of which might be called a ‘wager’ — it is only the final of these that is traditionally referred to as “Pascal’s Wager”. We find in it the extraordinary confluence of several strands in intellectual thought: the justification of theism; probability theory and decision theory, used here for almost the first time in history; pragmatism; voluntarism (the thesis that belief is a matter of the will); and the use of the concept of infinity.
We will begin with some brief stage-setting: some historical background, some of the basics of decision theory, and some of the exegetical problems that the Pensées pose. Then we will follow the text to extract three main arguments. The bulk of the literature addresses the third of these arguments, as will the bulk of our discussion here. Some of the more technical and scholarly aspects of our discussion will be relegated to lengthy footnotes, to which there are links for the interested reader. All quotations are from §233 of Pensées (1910, Trotter translation), the ‘thought’ whose heading is “Infinite—nothing”.
• 1. Background
• 2. The Argument from Superdominance
• 3. The Argument from Expectation
• 4. The Argument from Generalized Expectations: “Pascal’s Wager”
• 5. Objections to Pascal’s Wager
• Bibliography
• Other Internet Resources
• Related Entries
1. Background
It is important to contrast Pascal’s argument with various putative ‘proofs’ of the existence of God that had come before it. Anselm’s ontological argument, Aquinas’ ‘five ways’, Descartes’ ontological and cosmological arguments, and so on, purport to give a priori demonstrations that God exists. Pascal is apparently unimpressed by such attempted justifications of theism: “Endeavour … to convince yourself, not by increase of proofs of God…” Indeed, he concedes that “we do not know if He is …”. Pascal’s project, then, is radically different: he seeks to provide prudential reasons for believing in God. To put it crudely, we should wager that God exists because it is the best bet. Ryan 1994 finds precursors to this line of reasoning in the writings of Plato, Arnobius, Lactantius, and others; we might add Ghazali to his list — see Palacios 1920. But what is distinctive is Pascal’s explicitly decision theoretic formulation of the reasoning. In fact, Hacking 1975 describes the Wager as “the first well-understood contribution to decision theory” (viii). Thus, we should pause briefly to review some of the basics of that theory.
In any decision problem, the way the world is, and what an agent does, together determine an outcome for the agent. We may assign utilities to such outcomes, numbers that represent the degree to which the agent values them. It is typical to present these numbers in a decision matrix, with the columns corresponding to the various relevant states of the world, and the rows corresponding to the various possible actions that the agent can perform.
In decisions under uncertainty, nothing more is given — in particular, the agent does not assign subjective probabilities to the states of the world. Still, sometimes rationality dictates a unique decision nonetheless. Consider, for example, a case that will be particularly relevant here. Suppose that you have two possible actions, A1 and A2, and the worst outcome associated with A1 is at least as good as the best outcome associated with A2; suppose also that in at least one state of the world, A1′s outcome is strictly better than A2′s. Let us say in that case that A1 superdominates A2. Then rationality surely requires you to perform A1.
In decisions under risk, the agent assigns subjective probabilities to the various states of the world. Assume that the states of the world are independent of what the agent does. A figure of merit called the expected utility, or the expectation of a given action can be calculated by a simple formula: for each state, multiply the utility that the action produces in that state by the state’s probability; then, add these numbers. According to decision theory, rationality requires you to perform the action of maximum expected utility (if there is one).
Example. Suppose that the utility of money is linear in number of dollars: you value money at exactly its face value. Suppose that you have the option of paying a dollar to play a game in which there is an equal chance of returning nothing, and returning three dollars. The expectation of the game itself is
0*(1/2) + 3*(1/2) = 1.5,
so the expectation of paying a dollar for certain, then playing, is
-1 + 1.5 = 0.5.
This exceeds the expectation of not playing (namely 0), so you should play. On the other hand, if the game gave an equal chance of returning nothing, and returning two dollars, then its expectation would be:
0*(1/2) + 2*(1/2) = 1.
Then consistent with decision theory, you could either pay the dollar to play, or refuse to
play, for either way your overall expectation would be 0.
Considerations such as these will play a crucial role in Pascal’s arguments. It should be admitted that there are certain exegetical problems in presenting these arguments. Pascal never finished the Pensées, but rather left them in the form of notes of various sizes pinned together. Hacking 1972 describes the “Infinite—nothing” as consisting of “two pieces of paper covered on both sides by handwriting going in all directions, full of erasures, corrections, insertions, and afterthoughts” (24).[1] This may explain why certain passages are notoriously difficult to interpret, as we will see. Furthermore, our formulation of the arguments in the parlance of modern Bayesian decision theory might appear somewhat anachronistic. For example, Pascal did not distinguish between what we would now call objective and subjective probability, although it is clear that it is the latter that is relevant to his arguments. To some extent, “Pascal’s Wager” now has a life of its own, and our presentation of it here is perfectly standard. Still, we will closely follow Pascal’s text, supporting our reading of his arguments as much as possible.
There is the further problem of dividing the Infinite-nothing into separate arguments. We will locate three arguments that each conclude that rationality requires you to wager for God, although they interleave in the text.[2] Finally, there is some disagreement over just what “wagering for God” involves — is it believing in God, or merely trying to? We will conclude with a discussion of what Pascal meant by this.
2. The Argument from Superdominance
Pascal maintains that we are incapable of knowing whether God exists or not, yet we must “wager” one way or the other. Reason cannot settle which way we should incline, but a consideration of the relevant outcomes supposedly can. Here is the first key passage:
“God is, or He is not.”
But to which side shall we incline? Reason can decide nothing here. There is an infinite chaos which separated us. A game is being played at the extremity of this infinite distance where heads or tails will turn up… Which will you choose then? Let us see. Since you must choose, let us see which interests you least. You have two things to lose, the true and the good; and two things to stake, your reason and your will, you knowledge and your happiness; and your nature has two things to shun, error and misery. Your reason is no more shocked in choosing one rather than the other, since you must of necessity choose… But your happiness? Let us weigh the gain and the loss in wagering that God is… If you gain, you gain all; if you lose, you lose nothing. Wager, then, without hesitation that He is.
There are exegetical problems already here, partly because Pascal appears to contradict himself. He speaks of “the true” as something that you can “lose”, and “error” as something “to shun”. Yet he goes on to claim that if you lose the wager that God is, then “you lose nothing”. Surely in that case you “lose the true”, which is just to say that you have made an error. Pascal believes, of course, that the existence of God is “the true” — but that is not something that he can appeal to in this argument. Moreover, it is not because “you must of necessity choose” that “your reason is no more shocked in choosing one rather than the other”. Rather, by Pascal’s own account, it is because “[r]eason can decide nothing here”. (If it could, then it might well be shocked — namely, if you chose in a way contrary to it.)
Following McClennen 1994, Pascal’s argument seems to be best captured as presenting the following decision matrix:
God exists God does not exist
Wager for God Gain all Status quo
Wager against God Misery Status quo
Wagering for God superdominates wagering against God: the worst outcome associated with wagering for God (status quo) is at least as good as the best outcome associated with wagering against God (status quo); and if God exists, the result of wagering for God is strictly better that the result of wagering against God.
(The fact that the result is much better does not matter yet.) Pascal draws the conclusion at this point that rationality requires you to wager for God.
Without any assumption about your probability assignment to God’s existence, the argument is invalid. Rationality does not require you to wager for God if you assign probability 0 to God existing. And Pascal does not explicitly rule this possibility out until a later passage, when he assumes that you assign positive probability to God’s existence; yet this argument is presented as if it is self-contained. His claim that “[r]eason can decide nothing here” may suggest that Pascal regards this as a decision under uncertainty, which is to assume that you do not assign probability at all to God’s existence. If that is a further premise, then the argument is valid; but that premise contradicts his subsequent assumption that you assign positive probability. See McClennen for a reading of this argument as a decision under uncertainty.
Pascal appears to be aware of a further objection to this argument, for he immediately imagines an opponent replying:
“That is very fine. Yes, I must wager; but I may perhaps wager too much.”
The thought seems to be that if I wager for God, and God does not exist, then I really do lose something. In fact, Pascal himself speaks of staking something when one wagers for God, which presumably one loses if God does not exist. (We have already mentioned ‘the true’ as one such thing; Pascal also seems to regard one’s worldly life as another.) In other words, the matrix is mistaken in presenting the two outcomes under ‘God does not exist’ as if they were the same, and we do not have a case of superdominance after all.
Pascal addresses this at once in his second argument, which we will discuss only briefly, as it can be thought of as just a prelude to the main argument.
3. The Argument From Expectation
He continues:
Let us see. Since there is an equal risk of gain and of loss, if you had only to gain two lives, instead of one, you might still wager. But if there were three lives to gain, you would have to play (since you are under the necessity of playing), and you would be imprudent, when you are forced to play, not to chance your life to gain three at a game where there is an equal risk of loss and gain. But there is an eternity of life and happiness.
His hypothetically speaking of “two lives” and “three lives” may strike one as odd. It is helpful to bear in mind Pascal’s interest in gambling (which after all provided the initial motivation for his study of probability) and to take the gambling model quite seriously here. Recall our calculation of the expectations of the two dollar and three dollar gambles. Pascal apparently assumes now that utility is linear in number of lives, that wagering for God costs “one life”, and then reasons analogously to the way we did! This is, as it were, a warm-up. Since wagering for God is rationally required even in the hypothetical case in which one of the prizes is three lives, then all the more it is rationally required in the actual case, in which one of the prizes is eternal life (salvation).
So Pascal has now made two striking assumptions:
(1) The probability of God’s existence is 1/2.
(2) Wagering for God brings infinite reward if God exists.
Morris 1994 is sympathetic to (1), while Hacking 1972 finds it “a monstrous premiss”. It apparently derives from the classical interpretation of probability, according to which all possibilities are given equal weight. Of course, unless more is said, the interpretation yields implausible, and even contradictory results. (You have a one-in-a-million chance of winning the lottery; but either you win the lottery or you don’t, so each of these possibilities has probability 1/2?!) Pascal’s best argument for (1) is presumably that “[r]eason can decide nothing here”. (In the lottery ticket case, reason can decide something.) But it is not clear that complete ignorance should be modeled as sharp indifference. In any case, it is clear that there are people in Pascal’s audience who do not assign probability 1/2 to God’s existence. This argument, then, does not speak to them.
However, Pascal realizes that the value of 1/2 actually plays no real role in the argument, thanks to (2). This brings us to the third, and by far the most important, of his arguments.
4. The Argument From Generalized Expectations: “Pascal’s Wager”
We continue the quotation.
But there is an eternity of life and happiness. And this being so, if there were an infinity of chances, of which one only would be for you, you would still be right in wagering one to win two, and you would act stupidly, being obliged to play, by refusing to stake one life against three at a game in which out of an infinity of chances there is one for you, if there were an infinity of an infinitely happy life to gain. But there is here an infinity of an infinitely happy life to gain, a chance of gain against a finite number of chances of loss, and what you stake is finite. It is all divided; wherever the infinite is and there is not an infinity of chances of loss against that of gain, there is no time to hesitate, you must give all…
Again this passage is difficult to understand completely. Pascal’s talk of winning two, or three, lives is at best misleading. By his own decision theoretic lights, you would not act stupidly “by refusing to stake one life against three at a game in which out of an infinity of chances there is one for you”—in fact, you should not stake more than an infinitesimal amount in that case (an amount that is bigger than 0, but smaller than every positive real number). The point, rather, is that the prospective prize is “an infinity of an infinitely happy life”.
In short, if God exists, then wagering for God results in infinite utility.
What about the utilities for the other possible outcomes? There is some dispute over the utility of “misery”. Hacking interprets this as “damnation”, and Pascal does later speak of “hell” as the outcome in this case. Martin 1983 among others assigns this a value of negative infinity. Sobel 1996, on the other hand, is one author who takes this value to be finite. There is some textual support for this reading: “The justice of God must be vast like His compassion. Now justice to the outcast is less vast … than mercy towards the elect”.
As for the utilities of the outcomes associated with God’s non-existence, Pascal tells us that “what you stake is finite”. This suggests that whatever these values are, they are finite.
Pascal’s guiding insight is that the argument from expectation goes through equally well whatever your probability for God’s existence is, provided that it is non-zero and finite (non-infinitesimal) — “a chance of gain against a finite number of chances of loss”.[3]
With Pascal’s assumptions about utilities and probabilities in place, he is now in a position to calculate the relevant expectations. He explains how the calculations should proceed:
… the uncertainty of the gain is proportioned to the certainty of the stake according to the proportion of the chances of gain and loss… [4]
Let us now gather together all of these points into a single argument. We can think of Pascal’s Wager as having three premises: the first concerns the decision matrix of rewards, the second concerns the probability that you should give to God’s existence, and the third is a maxim about rational decision-making. Specifically:
1. Either God exists or God does not exist, and you can either wager for God or wager against God. The utilities of the relevant possible outcomes are as follows, where f1, f2, and f3 are numbers whose values are not specified beyond the requirement that they be finite:
God exists God does not exist
Wager for God ∞ f1
Wager against God f2 f3
2. Rationality requires the probability that you assign to God existing to be positive, and not infinitesimal.
3. Rationality requires you to perform the act of maximum expected utility (when there is one).
4. Conclusion 1. Rationality requires you to wager for God.
5. Conclusion 2. You should wager for God.
We have a decision under risk, with probabilities assigned to the relevant ways the world could be, and utilities assigned to the relevant outcomes. The conclusion seems straightforwardly to follow from the usual calculations of expected utility (where p is your positive, non-infinitesimal probability for God’s existence):
E(wager for God) = ∞*p + f1*(1 − p) = ∞
That is, your expected utility of belief in God is infinite as Pascal puts it, “our proposition is of infinite force”. On the other hand, your expected utility of wagering against God is
E(wager against God) = f2*p + f3*(1 − p)
This is finite.[5] By premise 3, rationality requires you to perform the act of maximum expected utility.
Therefore, rationality requires you to wager for God.
We now survey some of the main objections to the argument.
5. Objections to Pascal’s Wager
Premise 1: The Decision Matrix
Here the objections are manifold. Most of them can be stated quickly, but we will give special attention to what has generally been regarded as the most important of them, ‘the many Gods objection’ (see also the link to footnote 7).
1. Different matrices for different people.
The argument assumes that the same decision matrix applies to everybody. However, perhaps the relevant rewards are different for different people. Perhaps, for example, there is a predestined infinite reward for the Chosen, whatever they do, and finite utility for the rest, as Mackie 1982 suggests. Or maybe the prospect of salvation appeals more to some people than to others, as Swinburne 1969 has noted.
Even granting that a single 2 x 2 matrix applies to everybody, one might dispute the values that enter into it. This brings us to the next two objections.
2. The utility of salvation could not be infinite.
One might argue that the very notion of infinite utility is suspect — see for example Jeffrey 1983 and McClennen 1994.[6] Hence, the objection continues, whatever the utility of salvation might be, it must be finite. Strict finitists, who are chary of the notion of infinity in general, will agree — see Dummett 1978 and Wright 1987. Or perhaps the notion of infinite utility makes sense, but an infinite reward could only be finitely appreciated by a human being.
3. There should be more than one infinity in the matrix.
There are also critics of the Wager who, far from objecting to infinite utilities, want to see more of them in the matrix. For example, it might be thought that a forgiving God would bestow infinite utility upon wagerers-for and wagerers-against alike — Rescher 1985 is one author who entertains this possibility. Or it might be thought that, on the contrary, wagering against an existent God results in negative infinite utility. (As we have noted, some authors read Pascal himself as saying as much.) Either way, f2 is not really finite at all, but ∞ or -∞ as the case may be. And perhaps f1 and f3 could be ∞ or -∞. Suppose, for instance, that God does not exist, but that we are reincarnated ad infinitum, and that the total utility we receive is an infinite sum that does not converge.
4. The matrix should have more rows.
Perhaps there is more than one way to wager for God, and the rewards that God bestows vary accordingly. For instance, God might not reward infinitely those who strive to believe in Him only for the very mercenary reasons that Pascal gives, as James 1956 has observed. One could also imagine distinguishing belief based on faith from belief based on evidential reasons, and posit different rewards in each case.
6. The matrix should have more columns: the many Gods objection.
If Pascal is really right that reason can decide nothing here, then it would seem that various other theistic hypotheses are also live options. Pascal presumably had in mind the Catholic conception of God — let us suppose that this is the God who either ‘exists’ or ‘does not exist’. By excluded middle, this is a partition. The objection, then, is that the partition is not sufficiently fine-grained, and the ‘(Catholic) God does not exist’ column really subdivides into various other theistic hypotheses. The objection could equally run that Pascal’s argument ‘proves too much’: by parallel reasoning we can ‘show’ that rationality requires believing in various incompatible theistic hypotheses. As Diderot 1875-77 puts the point: “An Imam could reason just as well this way”.[7]
Since then, the point has been represented and refined in various ways. Mackie 1982 writes, “the church within which alone salvation is to be found is not necessarily the Church of Rome, but perhaps that of the Anabaptists or the Mormons or the Muslim Sunnis or the worshippers of Kali or of Odin” (203). Cargile 1966 shows just how easy it is to multiply theistic hypotheses: for each real number x, consider the God who prefers contemplating x more than any other activity. It seems, then, that such ‘alternative gods’ are a dime a dozen — or aleph one, for that matter.
Premise 2: The Probability Assigned to God’s Existence
There are four sorts of problem for this premise. The first two are straightforward; the second two are more technical, and can be found by following the link to footnote 8.
1. Undefined probability for God’s existence. Premise 1 presupposes that you should have a probability for God’s existence in the first place. However, perhaps you could rationally fail to assign it a probability — your probability that God exists could remain undefined. We cannot enter here into the thorny issues concerning the attribution of probabilities to agents. But there is some support for this response even in Pascal’s own text, again at the pivotal claim that “[r]eason can decide nothing here. There is an infinite chaos which separated us. A game is being played at the extremity of this infinite distance where heads or tails will turn up…” The thought could be that any probability assignment is inconsistent with a state of “epistemic nullity” (in Morris’ 1986 phrase): to assign a probability at all — even 1/2 — to God’s existence is to feign having evidence that one in fact totally lacks. For unlike a coin that we know to be fair, this metaphorical ‘coin’ is ‘infinitely far’ from us, hence apparently completely unknown to us. Perhaps, then, rationality actually requires us to refrain from assigning a probability to God’s existence (in which case at least the Argument from Superdominance would be valid). Or perhaps rationality does not require it, but at least permits it. Either way, the Wager would not even get off the ground.
2. Zero probability for God’s existence. Strict atheists may insist on the rationality of a probability assignment of 0, as Oppy 1990 among others points out. For example, they may contend that reason alone can settle that God does not exist, perhaps by arguing that the very notion of an omniscient, omnipotent, omnibenevolent being is contradictory. Or a Bayesian might hold that rationality places no constraint on probabilistic judgments beyond coherence (or conformity to the probability calculus). Then as long as the strict atheist assigns probability 1 to God’s non-existence alongside his or her assignment of 0 to God’s existence, no norm of rationality has been violated.
Furthermore, an assignment of p = 0 would clearly block the route to Pascal’s conclusion. For then the expectation calculations become:
E(wager for God) = ∞*0 + f1*(1 − 0) = f1
E(wager against God) = f2*0 + f3*(1 − 0) = f3
And nothing in the argument implies that f1 > f3. (Indeed, this inequality is questionable, as even Pascal seems to allow.) In short, Pascal’s wager has no pull on strict atheists.[8]
Premise 3: Rationality Requires Maximizing Expected Etility
Finally, one could question Pascal’s decision theoretic assumption that rationality requires one to perform the act of maximum expected utility (when there is one). Now perhaps this is an analytic truth, in which case we could grant it to Pascal without further discussion — perhaps it is constitutive of rationality to maximize expectation, as some might say. But this premise has met serious objections. The Allais 1953 and Ellsberg 1961 paradoxes, for example, are said to show that maximizing expectation can lead one to perform intuitively sub-optimal actions. So too the St. Petersburg paradox, in which it is supposedly absurd that one should be prepared to pay any finite amount to play a game with infinite expectation. (That paradox is particularly apposite here.)[9]
Finally, one might distinguish between practical rationality and theoretical rationality. One could then concede that practical rationality requires you to maximize expected utility, while insisting that theoretical rationality might require something else of you — say, proportioning belief to the amount of evidence available. This objection is especially relevant, since Pascal admits that perhaps you “must renounce reason” in order to follow his advice. But when these two sides of rationality pull in opposite directions, as they apparently can here, it is not obvious that practical rationality should take precedence. (For a discussion of pragmatic, as opposed to theoretical, reasons for belief, see Foley 1994.)
Is the Argument Valid?
A number of authors who have been otherwise critical of the Wager have explicitly conceded that the Wager is valid — e.g. Mackie 1982, Rescher 1985, Mougin and Sober 1994, and most emphatically, Hacking 1972. That is, these authors agree with Pascal that wagering for God really is rationally mandated by Pascal’s decision matrix in tandem with positive probability for God’s existence, and the decision theoretic account of rational action.
However, Duff 1986 and Hájek 2001 argue that the argument is in fact invalid. Their point is that there are strategies besides wagering for God that also have infinite expectation — namely, mixed strategies, whereby you do not wager for or against God outright, but rather choose which of these actions to perform on the basis of the outcome of some chance device. Consider the mixed strategy: “Toss a fair coin: heads, you wager for God; tails, you wager against God”. By Pascal’s lights, with probability 1/2 your expectation will be infinite, and with probability 1/2 it will be finite. The expectation of the entire strategy is:
1/2*∞ + 1/2[f2*p + f3*(1 − p)] = ∞
That is, the coin toss strategy has the same expectation as outright wagering for God. But the probability 1/2 was incidental to the result. Any mixed strategy that gives positive and finite probability to wagering for God will likewise have infinite expectation: “wager for God iff a fair die lands 6″, “wager for God iff your lottery ticket wins”, “wager for God iff a meteor quantum tunnels its way through the side of your house”, and so on.
The problem is still worse than this, though, for there is a sense in which anything that you do might be regarded as a mixed strategy between wagering for God, and wagering against God, with suitable probability weights given to each. Suppose that you choose to ignore the Wager, and to go and have a hamburger instead. Still, you may well assign positive and finite probability to your winding up wagering for God nonetheless; and this probability multiplied by infinity again gives infinity. So ignoring the Wager and having a hamburger has the same expectation as outright wagering for God. Even worse, suppose that you focus all your energy into avoiding belief in God. Still, you may well assign positive and finite probability to your efforts failing, with the result that you wager for God nonetheless. In that case again, your expectation is infinite again. So even if rationality requires you to perform the act of maximum expected utility when there is one, here there isn’t one. Rather, there is a many-way tie for first place, as it were.[10]
Moral Objections to Wagering for God
Let us grant Pascal’s conclusion for the sake of the argument: rationality requires you to wager for God. It still does not obviously follow that you should wager for God. All that we have granted is that one norm — the norm of rationality — prescribes wagering for God. For all that has been said, some other norm might prescribe wagering against God. And unless we can show that the rationality norm trumps the others, we have not settled what we should actually do.
There are several arguments to the effect that morality requires you to wager against God. Pascal himself appears to be aware of one such argument. He admits that if you do not believe in God, his recommended course of action will “deaden your acuteness.” One way of putting the argument is that wagering for God may require you to corrupt yourself, thus violating a Kantian duty to yourself. Clifford 1986 argues that an individual’s believing something on insufficient evidence harms society by promoting credulity. Penelhum 1971 contends that the putative divine plan is itself immoral, condemning as it does honest non-believers to loss of eternal happiness, when such unbelief is in no way culpable; and that to adopt the relevant belief is to be complicit to this immoral plan. See Quinn 1994 for replies to these arguments. For example, against Penelhum he argues that as long as God treats non-believers justly, there is nothing immoral about him bestowing special favor on believers, more perhaps than they deserve. (Note, however, that Pascal leaves open in the Wager whether the payoff for non-believers is just, even though as far as his argument goes, it may be extremely poor.)
Finally, Voltaire protests that there is something unseemly about the whole Wager. He suggests that Pascal’s calculations, and his appeal to self-interest, are unworthy of the gravity of the subject of theistic belief. This does not so much support wagering against God, as dismissing all talk of ‘wagerings’ altogether.
What Does It Mean to “Wager for God”?
Let us now grant Pascal that, all things considered (rationality and morality included), you should wager for God. What exactly does this involve?
A number of authors read Pascal as arguing that you should believe in God — see e.g. Quinn 1994, and Jordan 1994a. But perhaps one cannot simply believe in God at will; and rationality cannot require the impossible. Pascal is well aware of this objection: “[I] am so made that I cannot believe. What, then, would you have me do?”, says his imaginary interlocutor. However, he contends that one can take steps to cultivate such belief:
You would like to attain faith, and do not know the way; you would like to cure yourself of unbelief, and ask the remedy for it. Learn of those who have been bound like you, and who now stake all their possessions. These are people who know the way which you would follow, and who are cured of an ill of which you would be cured. Follow the way by which they began; by acting as if they believed, taking the holy water, having masses said, etc…
But to show you that this leads you there, it is this which will lessen the passions, which are your stumbling-blocks.
We find two main pieces of advice to the non-believer here: act like a believer, and suppress those passions that are obstacles to becoming a believer. And these are actions that one can perform at will.
Believing in God is presumably one way to wager for God. This passage suggests that even the non-believer can wager for God, by striving to become a believer. Critics may question the psychology of belief formation that Pascal presupposes, pointing out that one could strive to believe (perhaps by following exactly Pascal’s prescription), yet fail. To this, a follower of Pascal might reply that the act of genuine striving already displays a pureness of heart that God would fully reward; or even that genuine striving in this case is itself a form of believing.
Pascal’s Wager vies with Anselm’s Ontological Argument for being the most famous argument in the philosophy of religion. As we have seen, it is also a great deal more besides.
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Copyright © 1998, 2001
Alan Hájek
ahajek@hss.caltech.edu
Stanford Encyclopedia of Philosophy
See also, Stephen R. Welch’s page on Pascal’s Wager
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